We have millenia of proof to the contrary, to your anecdotal evidence.

People move away primarily for economic benefits. No single mass migration in history of humanity has ever happened "because people wanted to be close to their family".

If you want anecdotes: I know hundreds of people that have moved away from their families and only a few that moved back after being elsewhere. (Literally about half of my graduation year at university have moved away) Most people I know, that moved, see their family back "home" only once or twice per year (summer vacation + winter holidays).